The Problem of Catalan (Hardcover, 2014 ed.)

In 1842 the Belgian mathematician Eugene Charles Catalan asked whether 8 and 9 are the only consecutive pure powers of non-zero integers. 160 years after, the question was answered affirmatively by the Swiss mathematician of Romanian origin Preda Mihailescu. In other words, 32 - 23 = 1 is the only solution of the equation xp - yq = 1 in integers x, y, p, q with xy 0 and p, q 2. In this book we give a complete and (almost) self-contained exposition of Mihailescu's work, which must be understandable by a curious university student, not necessarily specializing in Number Theory. We assume a very modest background:a standard university course of algebra, including basic Galois theory, and working knowledge of basic algebraic number theory.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Release date:	October 2014
First published:	2014
Authors:	Yuri F. Bilu • Yann Bugeaud • Maurice Mignotte
Dimensions:	235 x 155 x 16mm (L x W x T)
Format:	Hardcover
Pages:	245
Edition:	2014 ed.
ISBN-13:	978-3-319-10093-7
Categories:	Books > Science & Mathematics > Mathematics > History of mathematics
LSN:	3-319-10093-9
Barcode:	9783319100937

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